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**fast****Fourier****transform**(FFT) is a discrete**Fourier****transform**algorithm which reduces the number of computations needed for N points from 2N^2 to 2NlgN, where lg is the ...A

**fast****Fourier****transform**-like algorithm which produces a hologram of an image.The

**Fourier****transform**is a generalization of the complex**Fourier**series in the limit as L->infty. Replace the discrete A_n with the continuous F(k)dk while letting n/L->k. ...A discrete

**fast****Fourier****transform**algorithm which can be implemented for N=2, 3, 4, 5, 7, 8, 11, 13, and 16 points.The continuous

**Fourier****transform**is defined as f(nu) = F_t[f(t)](nu) (1) = int_(-infty)^inftyf(t)e^(-2piinut)dt. (2) Now consider generalization to the case of a discrete ...An efficient version of the Walsh

**transform**that requires O(nlnn) operations instead of the n^2 required for a direct Walsh**transform**(Wolfram 2002, p. 1072).There are two sorts of transforms known as the fractional

**Fourier****transform**. The linear fractional**Fourier****transform**is a discrete**Fourier****transform**in which the exponent is ...The

**Fourier**cosine**transform**of a real function is the real part of the full complex**Fourier****transform**, F_x^((c))[f(x)](k) = R[F_x[f(x)](k)] (1) = ...The

**Fourier**sine**transform**is the imaginary part of the full complex**Fourier****transform**, F_x^((s))[f(x)](k) = I[F_x[f(x)](k)] (1) = int_(-infty)^inftysin(2pikx)f(x)dx. (2) The ...A shortened term for integral

**transform**. Geometrically, if S and T are two transformations, then the similarity transformation TST^(-1) is sometimes called the**transform**......